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   <div id="projectname">gbmath
   &#160;<span id="projectnumber">v0.051</span>
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   <div id="projectbrief">c++ math library</div>
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<div class="title">normal3.h</div>  </div>
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<a href="normal3_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;﻿</div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#ifndef __GBMATH_H__</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor"></span><span class="preprocessor">    #error  DO NOT INCLUDE THIS FILE. USE:   #include &lt;gbmath/_gbmath.h&gt;</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160; </div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">namespace </span>gbmath</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;{</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160; </div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
<div class="line"><a name="l00024"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html">   24</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classgbmath_1_1normal3.html" title="direction / normal in 3-dimensional space. Higher level than a vector. Always normalized. ">normal3</a> </div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    {</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">private</span>:</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    </div>
<div class="line"><a name="l00028"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">   28</a></span>&#160;        <span class="keywordtype">float</span> <a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a>;</div>
<div class="line"><a name="l00029"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">   29</a></span>&#160;        <span class="keywordtype">float</span> <a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">_y</a>;</div>
<div class="line"><a name="l00030"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html#aae8d335ed086c606ff53de6bac924c45">   30</a></span>&#160;        <span class="keywordtype">float</span> <a class="code" href="classgbmath_1_1normal3.html#aae8d335ed086c606ff53de6bac924c45">_z</a>;</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
<div class="line"><a name="l00032"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html#ad7db06b2991c2f92dbe30b8c0b33975d">   32</a></span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classgbmath_1_1normal3.html#ad7db06b2991c2f92dbe30b8c0b33975d">__normalize</a>()</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        {</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;            <span class="keyword">register</span> <span class="keywordtype">float</span> len = sqrt ( <a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a>*<a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a> + <a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">_y</a>*<a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">_y</a> + <a class="code" href="classgbmath_1_1normal3.html#aae8d335ed086c606ff53de6bac924c45">_z</a>*<a class="code" href="classgbmath_1_1normal3.html#aae8d335ed086c606ff53de6bac924c45">_z</a> );</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;            <span class="keywordflow">if</span>(len &gt; 0.0f) { <a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a>/=len; <a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">_y</a>/=len; _z/=len; }   </div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        }</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keyword">public</span>:</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
<div class="line"><a name="l00042"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html#a738ec51ecf39728d72a8519a99050f47">   42</a></span>&#160;        <span class="keyword">inline</span> <a class="code" href="classgbmath_1_1normal3.html#a738ec51ecf39728d72a8519a99050f47" title="//! ">normal3</a>() </div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        { </div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            <a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a> = 0.0f; </div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            <a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">_y</a> = 0.0f; </div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            <a class="code" href="classgbmath_1_1normal3.html#aae8d335ed086c606ff53de6bac924c45">_z</a> = 1.0f;  </div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        }</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        </div>
<div class="line"><a name="l00049"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html#a9256f9ccd79bf42dadc8cf65d93ee0ef">   49</a></span>&#160;        <span class="keyword">inline</span> <a class="code" href="classgbmath_1_1normal3.html#a9256f9ccd79bf42dadc8cf65d93ee0ef">normal3</a>(<span class="keyword">const</span> <a class="code" href="classgbmath_1_1normal3.html" title="direction / normal in 3-dimensional space. Higher level than a vector. Always normalized. ">normal3</a>&amp; n) </div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        { </div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;            <a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a>=n.<a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a>; </div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;            <a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">_y</a>=n.<a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">_y</a>; </div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;            <a class="code" href="classgbmath_1_1normal3.html#aae8d335ed086c606ff53de6bac924c45">_z</a>=n.<a class="code" href="classgbmath_1_1normal3.html#aae8d335ed086c606ff53de6bac924c45">_z</a>; </div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        }</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        </div>
<div class="line"><a name="l00056"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html#a4cc59c699a297439d2e6a2bd30290d63">   56</a></span>&#160;        <span class="keyword">inline</span> <a class="code" href="classgbmath_1_1normal3.html#a4cc59c699a297439d2e6a2bd30290d63">normal3</a>(<span class="keywordtype">float</span> <a class="code" href="classgbmath_1_1normal3.html#a12988bdec8c26bd88235a57e726a4ff1">x</a>, <span class="keywordtype">float</span> <a class="code" href="classgbmath_1_1normal3.html#a6f4b9769e680c4708c0aa0d33988d936">y</a>, <span class="keywordtype">float</span> <a class="code" href="classgbmath_1_1normal3.html#a302df5f0520771570849748764483153">z</a>) </div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        { </div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;            <a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a>=<a class="code" href="classgbmath_1_1normal3.html#a12988bdec8c26bd88235a57e726a4ff1">x</a>; </div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;            <a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">_y</a>=<a class="code" href="classgbmath_1_1normal3.html#a6f4b9769e680c4708c0aa0d33988d936">y</a>; </div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;            <a class="code" href="classgbmath_1_1normal3.html#aae8d335ed086c606ff53de6bac924c45">_z</a>=<a class="code" href="classgbmath_1_1normal3.html#a302df5f0520771570849748764483153">z</a>; </div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;            <a class="code" href="classgbmath_1_1normal3.html#ad7db06b2991c2f92dbe30b8c0b33975d">__normalize</a>(); </div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        }</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        </div>
<div class="line"><a name="l00064"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html#abfd15c90269efb09128cef92fb977e80">   64</a></span>&#160;        <span class="keyword">inline</span> <a class="code" href="classgbmath_1_1normal3.html#abfd15c90269efb09128cef92fb977e80">normal3</a>(<span class="keyword">const</span>  <a class="code" href="structgbmath_1_1vec3.html" title="3d-base vector. Corrected by operators epislon ">vec3</a>&amp; v) </div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        { </div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;            *<span class="keyword">this</span> = v;  </div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        }</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
<div class="line"><a name="l00070"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html#ab40d4c32ec5e3764327dfd8f48671dc5">   70</a></span>&#160;        <span class="keyword">inline</span> <span class="keyword">operator</span>  <span class="keyword">const</span> <span class="keywordtype">float</span>*() <span class="keyword">const</span>  { <span class="keywordflow">return</span> &amp;<a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a>; };</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160; </div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
<div class="line"><a name="l00073"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html#a12988bdec8c26bd88235a57e726a4ff1">   73</a></span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">float</span> <a class="code" href="classgbmath_1_1normal3.html#a12988bdec8c26bd88235a57e726a4ff1">x</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a>; }</div>
<div class="line"><a name="l00074"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html#a6f4b9769e680c4708c0aa0d33988d936">   74</a></span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">float</span> <a class="code" href="classgbmath_1_1normal3.html#a6f4b9769e680c4708c0aa0d33988d936">y</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">_y</a>; }</div>
<div class="line"><a name="l00075"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html#a302df5f0520771570849748764483153">   75</a></span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">float</span> <a class="code" href="classgbmath_1_1normal3.html#a302df5f0520771570849748764483153">z</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classgbmath_1_1normal3.html#aae8d335ed086c606ff53de6bac924c45">_z</a>; }</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
<div class="line"><a name="l00077"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html#af644b7714c6ca33990f0862c73f70991">   77</a></span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classgbmath_1_1normal3.html#af644b7714c6ca33990f0862c73f70991">operator = </a>(<span class="keyword">const</span>  <a class="code" href="structgbmath_1_1vec3.html" title="3d-base vector. Corrected by operators epislon ">vec3</a>&amp; vn)    </div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        { </div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;            <a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a> = vn.<a class="code" href="structgbmath_1_1vec3.html#a5fb2cf8734338da1ad7b4251a3bde292">x</a>; </div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;            <a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">_y</a> = vn.<a class="code" href="structgbmath_1_1vec3.html#aa096d36a3c46c4224f0195f70eb580ec">y</a>; </div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;            <a class="code" href="classgbmath_1_1normal3.html#aae8d335ed086c606ff53de6bac924c45">_z</a> = vn.<a class="code" href="structgbmath_1_1vec3.html#a546e6c38e7c49102f064d130ed3475ee">z</a>; </div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;            <a class="code" href="classgbmath_1_1normal3.html#ad7db06b2991c2f92dbe30b8c0b33975d">__normalize</a>(); </div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        }</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
<div class="line"><a name="l00085"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html#add9feded4a8eec29719bc7faa6471bf6">   85</a></span>&#160;        <span class="keyword">inline</span> <span class="keyword">operator</span>  <a class="code" href="structgbmath_1_1vec3.html" title="3d-base vector. Corrected by operators epislon ">vec3</a>()<span class="keyword"> const </span></div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;<span class="keyword">        </span>{ </div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;            <span class="keywordflow">return</span>  <a class="code" href="structgbmath_1_1vec3.html" title="3d-base vector. Corrected by operators epislon ">vec3</a> (<a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a>,<a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">_y</a>,<a class="code" href="classgbmath_1_1normal3.html#aae8d335ed086c606ff53de6bac924c45">_z</a>);  </div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        }</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
<div class="line"><a name="l00090"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html#a85b531f3dbb0774f343cf7a2bf42d3a7">   90</a></span>&#160;        <span class="keyword">inline</span> <span class="keyword">operator</span>  <span class="keyword">const</span> <a class="code" href="structgbmath_1_1vec3.html" title="3d-base vector. Corrected by operators epislon ">vec3</a>*() <span class="keyword">const</span> </div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        { </div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;            <span class="keywordflow">return</span> (<a class="code" href="structgbmath_1_1vec3.html" title="3d-base vector. Corrected by operators epislon ">vec3</a>*)&amp;<a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a>; </div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        }</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
<div class="line"><a name="l00096"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html#a3d03a88f229a738c4d3391bb25b9a21a">   96</a></span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">float</span> <a class="code" href="classgbmath_1_1normal3.html#a3d03a88f229a738c4d3391bb25b9a21a" title="compute angle between normals . ">angle</a> (<span class="keyword">const</span> <a class="code" href="classgbmath_1_1normal3.html" title="direction / normal in 3-dimensional space. Higher level than a vector. Always normalized. ">normal3</a>&amp; n)</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        {</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">float</span> fdot = <a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a>*n.<a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a> + <a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">_y</a>*n.<a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">_y</a> + <a class="code" href="classgbmath_1_1normal3.html#aae8d335ed086c606ff53de6bac924c45">_z</a>*n.<a class="code" href="classgbmath_1_1normal3.html#aae8d335ed086c606ff53de6bac924c45">_z</a>;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;            <span class="keywordflow">return</span> acos(  fdot );</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        }</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <a class="code" href="classgbmath_1_1normal3.html" title="direction / normal in 3-dimensional space. Higher level than a vector. Always normalized. ">normal3</a>&amp; <a class="code" href="classgbmath_1_1normal3.html#a7f1b3e5cec1b1d500eefb5f2a3cd3b4f" title="Set the direction between points and pntDest pntSrc. ">setDirectionBetweenPoints</a>(<span class="keyword">const</span> <a class="code" href="classgbmath_1_1point3.html" title="describes a point/coordinate/position in 3-dimensional space. Level higher than the vector ...">point3</a>&amp; pntSrc, <span class="keyword">const</span> <a class="code" href="classgbmath_1_1point3.html" title="describes a point/coordinate/position in 3-dimensional space. Level higher than the vector ...">point3</a>&amp; pntDest);</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
<div class="line"><a name="l00106"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html#a0db19127e6fb7e6277b922d99977be28">  106</a></span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classgbmath_1_1normal3.html#a0db19127e6fb7e6277b922d99977be28" title="Change in the opposite direction. ">negate</a>() </div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        {</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;            <a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a> = -<a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a>; </div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;            <a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">_y</a> = -<a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">_y</a>;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;            <a class="code" href="classgbmath_1_1normal3.html#aae8d335ed086c606ff53de6bac924c45">_z</a> = -<a class="code" href="classgbmath_1_1normal3.html#aae8d335ed086c606ff53de6bac924c45">_z</a>; </div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        }</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
<div class="line"><a name="l00114"></a><span class="lineno"><a class="code" href="classgbmath_1_1normal3.html#a644b98f4e06ef597c6557532e576a629">  114</a></span>&#160;        <a class="code" href="classgbmath_1_1normal3.html" title="direction / normal in 3-dimensional space. Higher level than a vector. Always normalized. ">normal3</a>&amp; <a class="code" href="classgbmath_1_1normal3.html#a644b98f4e06ef597c6557532e576a629" title="transform normal by matrix ">transform</a>(<span class="keyword">const</span>  <a class="code" href="structgbmath_1_1mat44.html" title="matrix 4x4. ">mat44</a>&amp; m)</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        {</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;            <a class="code" href="structgbmath_1_1vec3.html" title="3d-base vector. Corrected by operators epislon ">vec3</a> v = *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;           v.<a class="code" href="structgbmath_1_1vec3.html#abab0eed903e0f9c8bd881ac54b7c1afa" title="Transform as normal. ">transform_normal</a>(m);</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;           <a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a> = v.<a class="code" href="structgbmath_1_1vec3.html#a5fb2cf8734338da1ad7b4251a3bde292">x</a>;</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;           <a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">_y</a> = v.<a class="code" href="structgbmath_1_1vec3.html#aa096d36a3c46c4224f0195f70eb580ec">y</a>;</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;           <a class="code" href="classgbmath_1_1normal3.html#aae8d335ed086c606ff53de6bac924c45">_z</a> = v.<a class="code" href="structgbmath_1_1vec3.html#a546e6c38e7c49102f064d130ed3475ee">z</a>;</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;            <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        }</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;<span class="preprocessor">#ifdef _D3D9_H_</span></div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;<span class="preprocessor"></span>        <span class="keyword">inline</span> <span class="keyword">operator</span> D3DVECTOR*() { <span class="keywordflow">return</span> (D3DVECTOR*)&amp;<a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a>; }</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keyword">inline</span> <span class="keyword">operator</span> <span class="keyword">const</span> D3DVECTOR*() <span class="keyword">const</span> { <span class="keywordflow">return</span> (D3DVECTOR*)&amp;<a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a>; }</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        <span class="keyword">inline</span> <span class="keyword">operator</span> D3DVECTOR()<span class="keyword"> const  </span>{ D3DVECTOR r; r.x=<a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a>; r.y=<a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">_y</a>; r.z=<a class="code" href="classgbmath_1_1normal3.html#aae8d335ed086c606ff53de6bac924c45">_z</a>; <span class="keywordflow">return</span> r;  }</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classgbmath_1_1normal3.html#af644b7714c6ca33990f0862c73f70991">operator = </a>(<span class="keyword">const</span> D3DVECTOR&amp; v) {   <a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a>=v.x; <a class="code" href="classgbmath_1_1normal3.html#ad1a3f29501f7904fdc6e8018a23ac470">_y</a>=v.y; <a class="code" href="classgbmath_1_1normal3.html#aae8d335ed086c606ff53de6bac924c45">_z</a>=v.z; <a class="code" href="classgbmath_1_1normal3.html#ad7db06b2991c2f92dbe30b8c0b33975d">__normalize</a>(); }</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;<span class="preprocessor">#ifdef __D3DX9MATH_H__</span></div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="preprocessor"></span>        <span class="keyword">inline</span> <span class="keyword">operator</span> <span class="keyword">const</span> D3DXVECTOR3*() <span class="keyword">const</span> { <span class="keywordflow">return</span> (D3DXVECTOR3*)&amp;<a class="code" href="classgbmath_1_1normal3.html#a705cf5cf49b5557fa53206e611e933d3">_x</a>; }</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;    };</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;}</div>
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